Question

Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if necessary.(1 point)
Responses

14
14

10
10

9.22
9.22

100

Answer 1

The length between two points can be found using the distance formula, which is derived from the Pythagorean Theorem. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the two points are (-1, 6) and (5, -2). Plugging these values into the distance formula, we get:

d = √((5 - (-1))^2 + (-2 - 6)^2)
= √((6)^2 + (-8)^2)
= √(36 + 64)
= √100
= 10

Therefore, the length between the two points is 10.